Graphs
Roots/Factors
End Behavior
Miscellaneous
100
The roots of this function.
What are x=-1 and x=2?
100
The roots of the polynomial
f(x)=(x+5)(x-2)(2x-6)
What is x=-5, x=2, x=3
100
What is the end behavior of the function
y=x^2
x->-oo, f(x)->oo
x->oo, f(x)->oo
100
A function that has a root of 7+9i will also have this root
7-9i
200
The end behavior of this function
What is
x->-oo, f(x)-> -oo
x -> oo , f(x)-> oo
200
The zeros of the function
g(x)=x^3+x^2-9x-9
What are x=3, x=-3, x=-1
200
A function with an odd degree and a negative coefficient will have these end behaviors.
x->-oo, f(x)->oo
x->oo, f(x)->-oo
200
The total complex roots this function has:
y=8x+9x^5-4x^2+14
5 total roots
300
The root with an even multiplicity in this function:
What is x=2?
300
Use long/synthetic division to verify if (x+4) is a factor of the following function. Write down the other factor as well.
x^3+4x^2-9x-36
It is a factor. The other factor is
x^2-9
300
Sketch the end behaviors of the function
y=-5x^4
Any function that both sides point down.
300
These are two things the degree of a function tells us:
What is the number of solutions and n-1 number of turning points.
400
The least degree this function must be.
What is a fourth degree (Quartic)?
400
A function equation in STANDARD form NOT FACTORED FORM that has roots at x=5 and x=1. x=5 is a double root.
What is
x^3-11x^2+35x-25
400
The end behaviors of the function
h(x)=x^2 +7x^4 -9
What is
x->-oo, f(x)->oo
x->oo, f(x)->oo
400
Factor the polynomial
3x^2+19x+20
What is
(3x+4)(x+5)
500
A written function equation that represents this graph:
f(x)=(x+5)^2(x+1)(x+2)
500
The function equation IN STANDARD FORM that has complex root of
3-2i
What is
x^2-6x+13
500
End behaviors of the function
f(x)=(x+5)(x-2)^2
x->-oo, f(x)->-oo
x->oo, f(x)->oo
500
Given the fact that x=-5 is a root of the following function. Identify the other 2 roots OR factors.
x^3-19x+30
What is
(x-3)(x-2) or x=2, x=3